Article
Engineering, Civil
Wei Tian, Shun Weng, Yong Xia
Summary: This paper proposes a modal derivative enhanced Kron's substructuring method to accurately calculate the structural responses and response sensitivities of geometrically nonlinear systems. The method divides the global structure into substructures and assembles them in a dual form. By using a quadratic modal manifold governed by a few master modes, the substructural displacements around the initial linear equilibrium position are approximated. A time-variant reduction basis augmented by the master modal derivatives is derived from the quadratic modal manifold to capture the geometric nonlinearities. The proposed method is demonstrated to be effective through its application to a thin plate structure.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2023)
Article
Engineering, Civil
B. Iraola, J. M. Cabrero, M. Basterrechea-Arevalo, J. Gracia
Summary: This study addresses the issue of overestimation of the actual elastic response of structural timber connections by finite element models, proposing a control parameter called stiffness contact. The method for determining stiffness contact based on the geometry of a rectangular contact area is demonstrated through experimental campaigns on dowel embedment and moment resistant wood joint tests, showing good agreement with the experimental results.
ENGINEERING STRUCTURES
(2021)
Article
Mechanics
Minh-Chien Trinh, Hyungmin Jun
Summary: This paper introduces a geometrically nonlinear formulation for a nine-node shell finite element, utilizing total Lagrangian formulation and MITC technique to reduce membrane and shear locking phenomena. By using many-core accelerators with GPU-compatible libraries, the highest speed-up for the solution process is achieved. The present nine-node shell element shows excellent performance even with coarse mesh.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2021)
Article
Engineering, Mechanical
Morteza Karamooz Mahdiabadi, Paolo Tiso, Antoine Brandt, Daniel Jean Rixen
Summary: A non-intrusive model order reduction method based on modal derivatives is proposed in this paper, which can reduce the computational costs of dynamic analysis of nonlinear finite element models without the need for full model nonlinear dynamic simulations. The reduction basis constructed by this method is small, easy to compute, and spans the subspace in which the full solution lives.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2021)
Article
Mechanics
Lan Shang, Christophe Hoareau, Andreas Zilian
Summary: An electromechanical model for beam-like piezoelectric energy harvesters based on Reissner's beam theory is developed, capturing first-order shear deformation and large displacement/rotation. The model is extensible to investigate various piezoelectric energy harvesters and allows for two-way interaction between mechanical and electrical fields. Extensive numerical examples validate the model's accuracy and applicability in both linear and nonlinear regimes, demonstrating its ability to predict limit cycle oscillations in axial flow.
Article
Engineering, Aerospace
Shaochong Yang, Yuan Yao, Youchen Li, Lianhua Ma, Ying Zhang, Qingsheng Yang
Summary: The study investigates the geometrically nonlinear random vibration response of stiffened laminated plates under acoustic excitation using the equivalent linearization technique combined with reduced-order model and finite element method. An EL formulation for solving nonlinear random vibration response is derived based on the force error minimization approach. The proposed method shows high accuracy and efficiency in analyzing the geometric nonlinear random vibration response of stiffened laminated plates.
Article
Acoustics
Marielle Debeurre, Aurelien Grolet, Bruno Cochelin, Olivier Thomas
Summary: This article presents an original method for simulating the dynamics of highly flexible slender structures. A finite element discretization is used to model the flexible structures, preserving the geometrical nonlinearities inherent in such systems. The method combines harmonic balance and asymptotic numerical methods to solve the finite element equation. The proposed numerical strategy is rooted entirely in the frequency domain and can compute both the structure's frequency response and nonlinear modes.
JOURNAL OF SOUND AND VIBRATION
(2023)
Article
Mechanics
Zahra Ghadimi, Behrooz Hassani
Summary: This paper investigates the geometrically nonlinear analysis of laminated and piezolaminated shells using the isogeometric method. The initial director vectors at control points are obtained by solving a defined system of equations at the Greville points, resulting in an efficient convergence for high-order NURBS. The formulation is based on the Reissner-Mindlin assumption and an updated Lagrangian approach. An analytical integration is performed in each layer to reduce computational cost.
Article
Engineering, Multidisciplinary
Murillo V. B. Santana, Carlo Sansour, Mohammed Hjiaj, Hugues Somja
Summary: This article presents a novel equilibrium-based geometrically exact beam finite element formulation, where spatial position and rotation fields are interpolated to ensure constant strains along the element axis. Internal variables are explicitly solved at the element level, allowing for explicit computation without numerical integration. The formulation successfully eliminates locking phenomena and offers a computationally efficient strategy for various numerical applications.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Pawel Dunaj
Summary: This paper presents a finite element model updating algorithm based on a substructuring method, which reduces computational time. The updating process consists of local and global updating, using inverse variance weighting as the minimization criterion, and enables estimation of uncertainty levels of model parameters. The algorithm achieved significant improvement in an application case.
Article
Engineering, Mechanical
Keisuke Otsuka, Yinan Wang, Koji Fujita, Hiroki Nagai, Kanjuro Makihara
Summary: This study developed a novel consistent strain-based multifidelity modeling framework to address the problems in conventional multifidelity modeling. By leveraging new vector-strain transformations, all fidelity models obtained from the proposed framework consistently use the same external force model. The framework was validated using a hydrodynamic force model, and the simulation results concurred with conventional models and experiments. The reduction in calculation time provided by low-fidelity models has significant implications for conceptual and initial designs.
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS
(2022)
Article
Engineering, Aerospace
Surendra Verma, Babu Ranjan Thakur, B. N. Singh, D. K. Maiti
Summary: In this study, the geometrically nonlinear bending analysis of multilayered composite plates is conducted using Green-Lagrange and von Karman nonlinearity, with the performance of the model validated through comparison with existing literature and ANSYS results. The results demonstrate the essential consideration of Green-Lagrange nonlinearity for plates with specific boundary conditions, and highlight the accuracy of TSDT and NPSDT for symmetric and anti-symmetric cross-ply plates. Additionally, the impact of penalty for various theories and problems is emphasized, with significant effects asserted for certain cases.
AEROSPACE SCIENCE AND TECHNOLOGY
(2021)
Article
Mechanics
Zahra Soltani, Seyed Ali Hosseini Kordkheili
Summary: This study aims to calculate interlaminar stress distribution in multilayered composite shell structures using a novel nonlinear layer-wise shell finite element formulation. The results are in good agreement with existing literature and simulations conducted with the commercial finite element software Ansys.
COMPOSITE STRUCTURES
(2021)
Article
Engineering, Civil
Saher Attia, Magdi Mohareb, Michael Martens, Nader Yoosef Ghodsi, Yong Li, Samer Adeeb
Summary: A family of shell finite elements is developed for the geometrically nonlinear analysis of pipe bends, which demonstrates accuracy and versatility through eigenvalue analyses and comparisons with other models.
THIN-WALLED STRUCTURES
(2022)
Article
Nanoscience & Nanotechnology
Yuxin Zheng, Hongwei Jin, Congying Jiang
Summary: In this paper, the nonlinear stability of reinforced sandwich beams with graphene oxide powders (GOPs) was investigated using a finite element simulation. The stability curves of GOP-reinforced sandwich beams were obtained and found to be influenced by parameters such as GOP amount, face sheet thickness, geometrical imperfection, and center deflection.
ADVANCES IN NANO RESEARCH
(2022)
Article
Acoustics
C. Van Damme, M. S. Allen, J. J. Hollkamp
JOURNAL OF SOUND AND VIBRATION
(2020)
Article
Engineering, Mechanical
Iman Zare, Matthew S. Allen
Summary: The authors propose a quasi-static algorithm to accelerate the analysis of bolted structures, utilizing static reduction and a new numerical method to improve efficiency.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2021)
Article
Acoustics
Emily Jewell, Matthew S. Allen, Iman Zare, Mitchell Wall
JOURNAL OF SOUND AND VIBRATION
(2020)
Article
Engineering, Mechanical
Maren Scheel, Gleb Kleyman, Ali Tatar, Matthew R. W. Brake, Simon Peter, Jean-Philippe Noel, Matthew S. Allen, Malte Krack
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2020)
Article
Acoustics
Kyusic Park, Matthew S. Allen
Summary: This study contrasts the quasi-static modal analysis approach with reduced order modeling methods in addressing nonlinear structural problems, highlighting the deficiencies of each and proposing a new hybrid method, SICE-ROM, which combines the strengths of both to accurately capture resonant behavior in structures.
JOURNAL OF SOUND AND VIBRATION
(2021)
Article
Engineering, Mechanical
C. Schumann, M. S. Allen, M. Tuman, W. DeLima, E. Dodgen
Summary: The new method combines TSM and IMMAT to recreate the full environment on all axes simultaneously, accurately verifying the survival of a subcomponent in a given environment. However, the response away from the Transmission Simulator was found to be very sensitive to the design of the Transmission Simulator.
EXPERIMENTAL TECHNIQUES
(2022)
Article
Engineering, Mechanical
Francesco Latini, Jacopo Brunetti, Walter D'Ambrogio, Matthew S. Allen, Annalisa Fregolent
Summary: The study focuses on predicting the nonlinear behavior of coupled systems using a substructuring technique in the modal domain, with each connection treated as a quasi-linear substructure with stiffness that varies with amplitude or energy. The iterative procedure is improved by better control of total energy at each iteration, resulting in solutions for prescribed energy levels. The technique is applied to a system with two continuous linear subsystems coupled by nonlinear connections, and the results are compared to experimental data to evaluate accuracy and correlation between mode shapes and resonance frequency.
NONLINEAR DYNAMICS
(2021)
Article
Engineering, Biomedical
Jonathon L. Blank, Darryl G. Thelen, Matthew S. Allen, Joshua D. Roth
Summary: The study aimed to investigate the impact of material properties and fiber alignment on shear wave propagation speed, finding a strong correlation between shear wave speed and tissue density, and suggesting that shear wave speed likely increases in response to a load-dependent increase in the apparent shear modulus.
JOURNAL OF THE MECHANICAL BEHAVIOR OF BIOMEDICAL MATERIALS
(2022)
Article
Engineering, Mechanical
Michael Kwarta, Matthew S. Allen
Summary: This work introduces a new technique for nonlinear system identification using near resonant steady-state harmonically excited vibration measurements. The algorithm is based on a previously proposed formula and can estimate nonlinear modes and damping as a function of amplitude. The method requires accurate identification of linear modes and assumes that the nonlinear normal mode shape does not change significantly with response amplitude.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2022)
Article
Engineering, Mechanical
Seyed Iman Zare Estakhraji, Matthew S. Allen
Summary: This paper introduces a new method for computing the nonlinear Frequency Response Functions of structures containing Iwan elements, which can accurately and efficiently compute the steady-state response. By identifying and using displacement reversal points at joints as a surrogate, the number of state variables is significantly reduced, making the variables more continuous. Additionally, only the degrees of freedom related to the joints need to be calculated for nonlinear force and Jacobian, improving the efficiency of the approach.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2022)
Article
Acoustics
Seyed Iman Zare Estakhraji, Mitchell Wall, Jacob Capito, Matthew S. Allen
Summary: Bolted joints are significant in built up structures due to their damping and nonlinearity. This study presents a prediction of the nonlinear damping and stiffness of a structure using a detailed finite element model, which considers preload forces and Coulomb friction in the bolts. The predictions are compared with measurements at different preloads, showing reasonable agreement when using a Coulomb friction coefficient of 0.2 for simulations.
JOURNAL OF SOUND AND VIBRATION
(2023)
Article
Engineering, Mechanical
Aabhas Singh, Matthew S. Allen, Robert J. Kuether
Summary: This study explores the use of quasi-static analysis to model and predict the behavior of nonlinear joints and the frequency and damping of modes in structures. By applying quasi-static forces to multiple modes simultaneously and analyzing the load-displacement curves, the effect of other modes on the frequency and damping of the mode in question can be deduced. The results show that the quasi-static approach produces reasonable predictions of the nonlinear behavior, although they are conservative.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Engineering, Mechanical
Kyusic Park, Matthew S. Allen
Summary: This study proposes a data-driven approach for reduced order modeling that incorporates design variations in finite element models (FEM). The approach uses Gaussian Process Regression (GPR) to create a single reduced order model (ROM) that can account for variations in material properties or geometric parameters. The proposed method is applied to flat and curved beam structures, showing enhanced efficiency and relatively low cost compared to traditional ROM approaches.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Acoustics
Drithi Shetty, Matthew Allen, Kyusic Park
Summary: This paper presents a new reduced-order model that can capture the nonlinear dynamics of a structure containing both friction and geometric nonlinearity. The proposed model, the Iwan model with Geometric Nonlinearity (IGNL model), combines the Single-mode Implicit Condensation and Expansion method and the modal Iwan model. The paper also proposes a procedure to derive the parameters of the IGNL model from quasi-static simulations.
JOURNAL OF SOUND AND VIBRATION
(2023)
Article
Acoustics
Drithi Shetty, Matthew Allen
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME
(2020)